INTRODUCTION TO C* ALGEBRAS - I Introduction : In this talk, we
... is linear and respects the multiplication operator (ie. ψx is a multiplicative linear functional). Furthermore, every multiplicative linear functional is of the form ψx for some x ∈ X. Hence, the set Ω := {ψ : C(X) → C : ψ is multiplicative and linear} can be identified with X. Furthermore, this set ...
... is linear and respects the multiplication operator (ie. ψx is a multiplicative linear functional). Furthermore, every multiplicative linear functional is of the form ψx for some x ∈ X. Hence, the set Ω := {ψ : C(X) → C : ψ is multiplicative and linear} can be identified with X. Furthermore, this set ...
![§1.8 Introduction to Linear Transformations Let A = [a 1 a2 an] be](http://s1.studyres.com/store/data/006151798_1-1596c7f77f21452ed436a495dc65f749-300x300.png)
4 LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
... 2. Give an example to show that the union of two subspaces of a vector space V need not be a subspace of V. 3. Prove that any n + 1 vectors in Fn are linearly independent. 4. Define Kernel and Image of a homomorphism T. 5. Define an algebra over a field F. 6. What is eigen value and eigen vector? 7. ...
... 2. Give an example to show that the union of two subspaces of a vector space V need not be a subspace of V. 3. Prove that any n + 1 vectors in Fn are linearly independent. 4. Define Kernel and Image of a homomorphism T. 5. Define an algebra over a field F. 6. What is eigen value and eigen vector? 7. ...
